Question

*HELP ME PLEASE* Consider the equation: 3x + 1 – 9 = 3(x + 2) + n.

Give a value of n so that the equation has no solutions.

Explain why you are correct.

Answer 1

n = -14

Explanation:

Let us try to solve this equation for n;

3x + 1 - 9 = 3(x + 2) + n

3x - 8 = 3x + 6 + n

3x - 3x -8 - 6 = n

-14 = n

The value of n = -14

This value is the value of the equation that will have no solution.

To know if we are correct, let us input this value into the expression

3x + 1 - 9 = 3(x + 2) + n

3x - 8 = 3x + 6 -14

Collect like terms;

3x - 3x = 8 + 6 - 14

0 = 0